Sentence examples for branch trajectory from inspiring English sources

Note that for case (SC11) we have (V_{L}geq x_{1}^), thus the line (x=V_{L}) intersects with the right branch trajectory of homoclinic cycle (Gamma_{h_{1}}) at two points, as shown in Figure 14 (gray lines).

However, nonlinear gene expression changes, genes unrelated to the process, and the possibility of branching trajectories make this a challenging problem.

The check-up of this simple condition does not request the calculation of pinch branches and trajectories.

Darwin was not the first to propose that the system of nature is tree-like, nor that species undergo transmutation along hierarchically branching temporal trajectories.

Spiking is initiated at a saddle node on an invariant circle bifurcation at the folded edge of the lower branch and the trajectory spirals around the unstable fixed points on the upper branch.

Working on branch to colony trajectory in S. pistillata, we have recently [31] revealed that colonial astogeny is characterized by a continuum of architectural designs marked by several distinct stages, each representing its own characteristic morphometric parameters.

Explicit modelling yields a picture of quantum chaos in which different trajectories branch (a feature absent from classical chaos, which is deterministic) and then indeed diverge exponentially.

Now, the trajectory leaves the branch of repelling periodic orbits for the branch of attracting fixed points.

A novel tractography method based on fast marching (FM) is proposed which is capable of resolving fiber crossings and also permits trajectories to branch.

There are however a few differences regarding the origin, trajectory, and branching of the tibial artery, which may support the recent Cebus/ Sapajus separation [ 5].

When it falls inward toward the branch of fixed points, the trajectory resembles the bursting and torus canard with head trajectories seen at slightly larger k values.